Parametrized Path Approach to Vacuum Decay
Quantum Physics
2020-03-04 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We develop a new real-time approach to vacuum decay based on a reduction to a finite number of degrees of freedom. The dynamics is followed by solving a generalized Schr\"odinger equation. We first apply this method to a real scalar field in Minkowski space and compare the decay rate with that obtained by the instanton approach. The main difference is in the early-time dynamics, where the decay is faster due to the tail of the wave function. We then apply it to a cold atom model recently proposed to simulate vacuum decay experimentally. This approach will be extended to include gravity in a future work.
Cite
@article{arxiv.1911.12765,
title = {Parametrized Path Approach to Vacuum Decay},
author = {Florent Michel},
journal= {arXiv preprint arXiv:1911.12765},
year = {2020}
}
Comments
19 pages, 13 figures, close to the version accepted for publication in PRD